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40041495787225 = 52612207472
BaseRepresentation
bin10010001101010111000110…
…01000011111011011011001
312020202221002200120102010211
421012223203020133123121
520222014440410142400
6221054450443011121
711301621410315152
oct1106534310373331
9166687080512124
1040041495787225
11118385595461a9
1245a8387b09aa1
131945b874c590a
149c60395b0929
15496887bb9dba
hex246ae321f6d9

40041495787225 has 27 divisors (see below), whose sum is σ = 50481189809661. Its totient is φ = 31506543578400.

The previous prime is 40041495787133. The next prime is 40041495787333. The reversal of 40041495787225 is 52278759414004.

The square root of 40041495787225 is 6327835.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18443838247641 + 21597657539584 = 4294629^2 + 4647328^2 .

It is not a de Polignac number, because 40041495787225 - 233 = 40032905852633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40041495787225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1929979302 + ... + 1930000048.

Almost surely, 240041495787225 is an apocalyptic number.

40041495787225 is the 6327835-th square number.

40041495787225 is the 3163918-th centered octagonal number.

It is an amenable number.

40041495787225 is a deficient number, since it is larger than the sum of its proper divisors (10439694022436).

40041495787225 is an frugal number, since it uses more digits than its factorization.

40041495787225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41626 (or 20813 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 40041495787225 in words is "forty trillion, forty-one billion, four hundred ninety-five million, seven hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 61 305 1525 3721 18605 20747 93025 103735 518675 1265567 6327835 31639175 77199587 385997935 430438009 1929989675 2152190045 10760950225 26256718549 131283592745 656417963725 1601659831489 8008299157445 40041495787225